Fuzzy Mathematics and Nonstandard Analysis Application to the Theory of Relativity
Subject Areas : Transactions on Fuzzy Sets and SystemsJohn N Mordeson 1 , Sunil Mathew 2
1 - Department of Mathematics, Creighton University, Omaha, USA.
2 - Department of Mathematics, National Institute of Technology Calicut, Calicut, India.
Keywords:
Abstract :
[1] I. Davis, An Introduction to Nonstandard Analysis (2009). Available online: https://www.math.uchicago.edu.
[2] I. Goldberg, Lecture notes on nonstandard analysis (2014). Available online: https://www.math.uci.edu.
[3] R. A. Herrmann, Nonstandard Analysis Applied to Special and General Relativity-The Theory of Infinitesimal Light-Clocks (2014). Available online: https://arXiv:math/0312189v10 [math.GM].
[4] T. Imamura, Note on the definition of neutrosophic logic, Math. I. O. 7(2018). Available online: https://arXiv:1811.02961v1.
[5] E. Klement and R. Mesiar, L-fuzzy sets and ispmorphic lattices, are all the results really new? Mathematics, 6(146) (2018), 1-24.
[6] G. J. Klir and B. Yuan, Fuzzy Sets and Logic: Theory and Applications, Prentice Hall PTR, New Jersey, (1995).
[7] P. A. Loeb and M. Wolff, Nonstandard Analysis for the Working Mathematician, Kluwer Academic Publishers, USA, (2000).
[8] J. N. Mordeson and S. Mathew, Nonstandard fuzzy mathematics, Advances in Fuzzy Sets and Systems, 27 (2022), 35-52.
[9] J. N. Mordeson, S. Mathew and M. Binu, Applications of Mathematics of Uncertainty, Grand Challenges-Human Trafficking-Coronavirus-Biodiversity and Extinction, Springer Studies in Systems, Decision and Control, (2022).
[10] D. A. B. Rayo, Introduction to non-standard analysis. Available online: https://math.uchicago.edu REUPapers 2-15.
[11] A. Robinson, Nonstandard Analysis, North-Holland Publishing Co., (1966).
[12] E. Staunton, (R. Ryan Supervisor), Infinitesimals, nonstandard analysis and applications to finance, NUI Galway OE Gaillimh, National University of Ireland, Galway, (2013).